Forty-two percent of Americans now approve of how the president is dealing with the crisis on the Korean Peninsula, after it was announced last week that Trump would meet with North Korean leader Kim Jong Un for talks by the end of May.

By comparison, only 34 percent of Americans approved of Trump's handling of the situation in January, according to CBS News.

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Nearly two-thirds of Americans remain uneasy about the situation with North Korea, pollsters found, although Republicans have become increasingly confident that the matter will be resolved without conflict.

Sixty-four percent of Americans expressed unease with the situation, according to the survey. The number of Republicans who are uneasy, however, has fallen by 19 points since last August.

Tensions between the U.S. and North Korea soared last year as Pyongyang ramped up the pace of its ballistic missile tests and detonated what the country claimed was a hydrogen bomb.

But a series of diplomatic overtures since early this year have signaled a willingness by North Korea to defuse the situation, with the 2018 Winter Olympics in Pyeongchang, South Korea, serving as a focal point for those overtures.

Trump abruptly agreed last week to meet with Kim by the end of May. If the encounter occurs, it will make Trump the first sitting U.S. president to meet with a North Korean leader.

The CBS News poll is based on interviews with 1,223 U.S. adults conducted from March 8-11. It has a margin of error of 3 percentage points.